2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68923The extension of Banach Lie-Poisson spaces is studied and linked to the extension of a special class of Banach Lie algebras. The case of W*-algebras is given particular attention. Semidirect products and the extension of the restricted Banach Lie-Poisson space by the Banach Lie-Poisson space of compact operators are given as examples.22 pagesSymplectic GeometryFunctional Analysis46L10, 46T05, 46T20, 53D17, 53Z05Extensions of Banach Lie-Poisson spacestext